A tourist being chased by an angry bear is running in a straight line toward his

Question

A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 4.68  m/s. The car is a distance d away. The bear is 24.2  m behind the tourist and running at 6.25  m/s. The tourist reaches the car safely. What is the maximum possible value for d?

A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 4.68 m/s. The car is a distance d away. The bear is 24.2 m behind the tourist and running at 6.25 m/s. The tourist reaches the car safely. What is the maximum possible value for d?

Explanation / Answer

d=distance from tourist to car, thus d/4.68 is how quickly he can cover that ground.

the distance the bear must travel is 24.2+d/6.25.

d/4.68 = 24.2 +d/6.25

6.25 d =4.68d + 113.256

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